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Choosing Science
Judging on the basis of experience, a school counselor claims that 60% of Australian students choose the science stream for higher studies.
Suppose you surveyed 25 randomly selected students, and 18 of them reported having chosen the science stream.
The null hypothesis is that the overall proportion of the students who have made such a choice is 60%. What value of the test statistic should you report?
What is the probability that the income is between $1,000 and $1,800? (Be able to draw a graph to illustrate your results)
Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective
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Meagan Dubean manages a portfolio of 200 common stocks. Her staff classified the portfolio stocks by 'industry sector' and 'investment objective. If x is a binomial random variable with n=8 and p=0.6, what is the probability that x is equal to 4?
The following table consists of one student athlete's time (in minutes) to swim 2000 yards and the student's heart rate (beats per minute) after swimming.
The multivariate normal random variables X I , X2, . Xk are mutually independent if and only if they are pairwise uncorrelated. The proof consists of invoking Theorem 2.10 and using the moment generating function (Eq. 2.97) (see Exercise 2.1).
Define the parameter of interest, state the null and alternative hypotheses corresponding to the researchers' questions. Compute the test statistics corresponding to the hypothesis
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Maine Lobster Direct in Portland, Maine, hires a contractor to ship its goods to Harry's Restaurant of Manhattan, Kansas, by a refrigerated truck. The driving route is 1,608 miles. Providing a proper shipping environment is vital so the lobsters c..
Is there any evidence to suggest that the mean time to finish this triathlon was more than 2.5 hours? Assume the underlying distribution is normal and use a 5 0.01.
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